Applications of Functions (VCE SSCE Mathematical Methods): Flashcards

Function with different rules over different intervals

Values that make physical sense in context

All dimensions must be non-negative

Corresponding sides are in proportion

$V = (\text{length})(\text{width})(\text{height})$

Most restrictive bound satisfying all conditions

$A = \text{length} \times \text{width}$

Physical constraints of real-world context

Define intervals using inequality notation

$h = \sqrt{(\text{hypotenuse})^2 - (\text{base})^2}$